Display Screen or Portion Thereof with Animated Graphical User Interface

FIG. 1 is a front view of a display screen or portion thereof with animated graphical user interface showing a first image in the sequence showing our new design; FIG. 2 is a second image thereof; and, FIG. 3 is a third image thereof. The outermost dash-dotted broken lines in the drawings illustrate the display screen or portion thereof and form no part of the claimed design. The dashed broken lines in the drawings illustrate portions of the graphical user interface that form no part of the claimed design. The appearance of the animated image transitions between the images shown in FIGS. 1 through 3 . The process or period in which one image transitions to another forms no part of the claimed design.